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Finding the Fourth Proportional to 148,416.84, 204,823.62 and 88,023.24

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Solution

The fourth proportional to 148,416.84, 204,823.62 and 88,023.24 is: 121,477.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,416.84 : 204,823.62 = 88,023.24 : x
  2. Step 2: Convert to fraction form
    148,416.84/204,823.62 = 88,023.24/x
  3. Step 3: Cross multiply
    148,416.84x = 204,823.62 × 88,023.24
  4. Step 4: Simplify right side
    148,416.84x = 18,029,238,660.93
  5. Step 5: Solve for x
    x = 18,029,238,660.93/148,416.84
  6. Step 6: Final answer
    x = 121,477.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.